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- W1993758835 abstract "A category of (mn mod mN+nN)-dimensional complex paraconformal supermanifolds, m, n and N being arbitrary natural numbers, is introduced and studied. Certain geometric structures on a paraconformal supermanifold are used to define an invariant super-Lagrangian. In a distinguished coordinate chart the corresponding action is expressed in terms of unconstrained superfields and gives rise thereby to a well defined field theory in mn-dimensional spacetime which possesses an N-extended local supersymmetry. In the case N=1, m=n=2 the resulting theory coincides exactly with the N=1, D=4 minimal supergravity in the Ogievetsky-Sokatchev version. It is also proved that the subcategory of (4k mod 2k N+2N)-dimensional paraconformal supermanifolds, N>or=0, k>or=2, equipped with certain real structures may be identified with a N-extended supersymmetric generalization of the category of almost quaternionic manifolds." @default.
- W1993758835 created "2016-06-24" @default.
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- W1993758835 date "1991-04-01" @default.
- W1993758835 modified "2023-09-25" @default.
- W1993758835 title "Paraconformal supermanifolds and non-standard N-extended supergravity models" @default.
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- W1993758835 doi "https://doi.org/10.1088/0264-9381/8/4/005" @default.
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